Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 956 and 958 the smallest integer that is 457924 that is divisible by both numbers.
Least Common Multiple (LCM) of 956 and 958 is 457924.
LCM(956,958) = 457924
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 956 and 958. First we will calculate the prime factors of 956 and 958.
Prime Factorization of 956
2 | 956 |
2 | 478 |
239 | 239 |
1 |
Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:
956 = 22×2391
Prime Factorization of 958
2 | 958 |
479 | 479 |
1 |
Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:
958 = 21×4791
Now multiplying the highest exponent prime factors to calculate the LCM of 956 and 958.
LCM(956,958) = 22×2391×4791
LCM(956,958) = 457924
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1, 2, 479, 958
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 956 and 958, than apply into the LCM equation.
GCF(956,958) = 2
LCM(956,958) = ( 956 × 958) / 2
LCM(956,958) = 915848 / 2
LCM(956,958) = 457924
(i) The LCM of 958 and 956 is associative
LCM of 956 and 958 = LCM of 958 and 956
1. What is the LCM of 956 and 958?
Answer: LCM of 956 and 958 is 457924.
2. What are the Factors of 956?
Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.
3. What are the Factors of 958?
Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.
4. How to Find the LCM of 956 and 958?
Answer:
Least Common Multiple of 956 and 958 = 457924
Step 1: Find the prime factorization of 956
956 = 2 x 2 x 239
Step 2: Find the prime factorization of 958
958 = 2 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 457924 = 2 x 2 x 239 x 479
Step 4: Therefore, the least common multiple of 956 and 958 is 457924.